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Theory of Probability and Mathematical Statistics

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Subordinate statistical structures


Authors: Z. K. Zerakidze and G. A. Sokhadze
Translated by: S. Kvasko
Original publication: Teoriya Imovirnostei ta Matematichna Statistika, tom 85 (2011).
Journal: Theor. Probability and Math. Statist. 85 (2012), 73-81
MSC (2010): Primary 62H05, 62H12
Published electronically: January 11, 2013
MathSciNet review: 2933704
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Abstract | References | Similar Articles | Additional Information

Abstract: General statistical structures are considered in this paper. It is shown that a general statistical structure can be reduced to some orthogonal or absolutely continuous statistical structure.


References [Enhancements On Off] (What's this?)

  • 1. I. Š. Ibramhalilov and A. V. Skorohod, Sostoyatelnye otsenki parametrov sluchainykh protsessov, “Naukova Dumka”, Kiev, 1980 (Russian). MR 584624
  • 2. Z. S. Zerakidze, A Hilbert space of measures, Ukrain. Mat. Zh. 38 (1986), no. 2, 148–154, 267 (Russian). MR 841043
  • 3. F. R. Drake, Set Theory: An Introduction to Large Cardinals, North-Holland Publishing Company, Amsterdam, 1974.
  • 4. Z. S. Zerakidze, Weakly separable and separable families of probability measures, Soobshch. Akad. Nauk Gruzin. SSR 113 (1984), no. 2, 273–275 (Russian, with English and Georgian summaries). MR 780715

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Additional Information

Z. K. Zerakidze
Affiliation: Gori State University, Chavchavadze Street, 53, Gori, Georgia
Email: z.zerakidze@gmail.ru

G. A. Sokhadze
Affiliation: Ilia Vekua Institute of Applied Mathematics, University Street 3, Tbilisi, 0186, Georgia
Email: giasokhi1@i.ua

DOI: https://doi.org/10.1090/S0094-9000-2013-00875-8
Keywords: Statistical structures, absolute continuity, orthogonality
Received by editor(s): July 27, 2011
Published electronically: January 11, 2013
Additional Notes: The paper is based on the talk presented at the International Conference “Modern Stochastics: Theory and Applications II” held September 7–11, 2010, at Kyiv National Taras Shevchenko University and dedicated to the anniversaries of prominent Ukrainian scientists, Anatoliĭ Skorokhod, Vladimir Korolyuk, and Igor Kovalenko
Article copyright: © Copyright 2013 American Mathematical Society